Book contents
- Frontmatter
- Contents
- Preface
- 1 t-algebras and differentials
- 2 Ditalgebras and modules
- 3 Bocses, ditalgebras and modules
- 4 Layered ditalgebras
- 5 Triangular ditalgebras
- 6 Exact structures in A-Mod
- 7 Almost split conflations in A-Mod
- 8 Quotient ditalgebras
- 9 Frames and Roiter ditalgebras
- 10 Product of ditalgebras
- 11 Hom-tensor relations and dual basis
- 12 Admissible modules
- 13 Complete admissible modules
- 14 Bimodule filtrations and triangular admissible modules
- 15 Free bimodule filtrations and free ditalgebras
- 16 AX is a Roiter ditalgebra, for suitable X
- 17 Examples and applications
- 18 The exact categories P(∧), P1(∧) and ∧-Mod
- 19 Passage from ditalgebras to finite-dimensional algebras
- 20 Scalar extension and ditalgebras
- 21 Bimodules
- 22 Parametrizing bimodules and wildness
- 23 Nested and seminested ditalgebras
- 24 Critical ditalgebras
- 25 Reduction functors
- 26 Modules over non-wild ditalgebras
- 27 Tameness and wildness
- 28 Modules over non-wild ditalgebras revisited
- 29 Modules over non-wild algebras
- 30 Absolute wildness
- 31 Generic modules and tameness
- 32 Almost split sequences and tameness
- 33 Varieties of modules over ditalgebras
- 34 Ditalgebras of partially ordered sets
- 35 Further examples of wild ditalgebras
- 36 Answers to selected exercises
- References
- Index
8 - Quotient ditalgebras
Published online by Cambridge University Press: 07 September 2011
Book contents
- Frontmatter
- Contents
- Preface
- 1 t-algebras and differentials
- 2 Ditalgebras and modules
- 3 Bocses, ditalgebras and modules
- 4 Layered ditalgebras
- 5 Triangular ditalgebras
- 6 Exact structures in A-Mod
- 7 Almost split conflations in A-Mod
- 8 Quotient ditalgebras
- 9 Frames and Roiter ditalgebras
- 10 Product of ditalgebras
- 11 Hom-tensor relations and dual basis
- 12 Admissible modules
- 13 Complete admissible modules
- 14 Bimodule filtrations and triangular admissible modules
- 15 Free bimodule filtrations and free ditalgebras
- 16 AX is a Roiter ditalgebra, for suitable X
- 17 Examples and applications
- 18 The exact categories P(∧), P1(∧) and ∧-Mod
- 19 Passage from ditalgebras to finite-dimensional algebras
- 20 Scalar extension and ditalgebras
- 21 Bimodules
- 22 Parametrizing bimodules and wildness
- 23 Nested and seminested ditalgebras
- 24 Critical ditalgebras
- 25 Reduction functors
- 26 Modules over non-wild ditalgebras
- 27 Tameness and wildness
- 28 Modules over non-wild ditalgebras revisited
- 29 Modules over non-wild algebras
- 30 Absolute wildness
- 31 Generic modules and tameness
- 32 Almost split sequences and tameness
- 33 Varieties of modules over ditalgebras
- 34 Ditalgebras of partially ordered sets
- 35 Further examples of wild ditalgebras
- 36 Answers to selected exercises
- References
- Index
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- Differential Tensor Algebras and their Module Categories , pp. 56 - 65Publisher: Cambridge University PressPrint publication year: 2009